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Finding the Fourth Proportional to 314,888.16, 434,542.86 and 171,648.12

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Solution

The fourth proportional to 314,888.16, 434,542.86 and 171,648.12 is: 236,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,888.16 : 434,542.86 = 171,648.12 : x
  2. Step 2: Convert to fraction form
    314,888.16/434,542.86 = 171,648.12/x
  3. Step 3: Cross multiply
    314,888.16x = 434,542.86 × 171,648.12
  4. Step 4: Simplify right side
    314,888.16x = 74,588,464,978.42
  5. Step 5: Solve for x
    x = 74,588,464,978.42/314,888.16
  6. Step 6: Final answer
    x = 236,872.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.